"Conceptual Circuit"

Conceptual Circuit

Figure: concept.svg
Schematic diagram of Conceptual Diagram

Our MNA equation is:

Matrix equation:

\begin{equation} \left[\begin{matrix}0\\0\\0\\0\\0\\0\\0\\0\\0\\0\\- I_{s}\\0\end{matrix}\right]=\left[\begin{array}{cccccccccccc}0 & 0 & 0 & 0 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 0\\0 & -1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & C_{T}\\0 & 0 & 0 & 0 & 0 & 0 & -1 & 1 & 0 & 0 & 0 & 0\\0 & 0 & - B_{T} & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -1 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & -1 & 0 & - A_{T}\\0 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\-1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\0 & 0 & 0 & 1 & 0 & -1 & 0 & 0 & 0 & 0 & 0 & 0\\D_{T} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & C_{s} s & 0\\0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & C_{l} s + \frac{1}{R_{\ell}}\end{array}\right]\cdot\left[\begin{matrix}Ii_{F1 Xt}\\Io_{G1 Xt}\\Ii_{H1 Xt}\\Io_{H1 Xt}\\Io_{N1 Xt}\\Io_{E1 Xt}\\V_{5 Xt}\\V_{6 Xt}\\V_{7 Xt}\\V_{8 Xt}\\V_{in}\\V_{out}\end{matrix}\right] \end{equation}

MNA Conclusions

According to the specifications the capacitance may vary with voltage, so instead I would like to measure the current and prefer the input voltage to be indepent of the transfer

According to our MNA equation I can garauntee that the input voltage is independent of the output by setting $A_T=0$ and $B_T=0$.

According to our MNA equation I can garauntee that the output current is independent of the load impedance by setting $D_T$=0.

Ideal Transfer

Now we wish for the transfer:

\begin{equation} I_{s}=C_{T} V_{output} \end{equation}

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Last project update: 2022-11-20 18:08:04